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C $Header: /u/gcmpack/MITgcm/model/inc/GRID.h,v 1.25 2003/11/12 00:02:44 dimitri Exp $ |
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C $Name: $ |
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C |
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CBOP |
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C !ROUTINE: GRID.h |
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C !INTERFACE: |
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C include GRID.h |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | GRID.h |
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C | o Header file defining model grid. |
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C *==========================================================* |
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C | Model grid is defined for each process by reference to |
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C | the arrays set here. |
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C | Notes |
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C | ===== |
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C | The standard MITgcm convention of westmost, southern most |
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C | and upper most having the (1,1,1) index is used here. |
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C | i.e. |
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C |---------------------------------------------------------- |
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C | (1) Plan view schematic of model grid (top layer i.e. ) |
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C | ================================= ( ocean surface ) |
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C | ( or top of ) |
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C | ( atmosphere ) |
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C | This diagram shows the location of the model |
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C | prognostic variables on the model grid. The "T" |
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C | location is used for all tracers. The figure also |
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C | shows the southern most, western most indexing |
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C | convention that is used for all model variables. |
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C | |
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C | |
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C | V(i=1, V(i=Nx, |
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C | j=Ny+1, j=Ny+1, |
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C | k=1) k=1) |
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C | /|\ /|\ "PWX" |
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C | |---------|------------------etc.. |---- *--- |
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C | | | * | |
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C |"PWY"*******************************etc.. **********"PWY" |
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C | | | * | |
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C | | | * | |
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C | | | * | |
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C |U(i=1, ==> x | x *==>U |
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C | j=Ny,| T(i=1, | T(i=Nx, *(i=Nx+1, |
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C | k=1) | j=Ny, | j=Ny, * |j=Ny, |
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C | | k=1) | k=1) * |k=1) |
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C | |
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C | . . . |
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C | . . . |
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C | . . . |
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C | e e * e |
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C | t t * t |
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C | c c * c |
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C | | | * | |
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C | | | * | |
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C |U(i=1, ==> x | x * | |
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C | j=2, | T(i=1, | T(i=Nx, * | |
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C | k=1) | j=2, | j=2, * | |
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C | | k=1) | k=1) * | |
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C | | | * | |
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C | | /|\ | /|\ * | |
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C | -----------|------------------etc.. |-----*--- |
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C | | V(i=1, | V(i=Nx, * | |
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C | | j=2, | j=2, * | |
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C | | k=1) | k=1) * | |
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C | | | * | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1, |
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C | k=1) | j=1, | k=1) j=1, * |j=1, |
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C | | k=1) | k=1) * |k=1) |
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C | | | * | |
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C | | /|\ | /|\ * | |
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C |"SB"++>|---------|------------------etc.. |-----*--- |
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C | /+\ V(i=1, V(i=Nx, * |
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C | + j=1, j=1, * |
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C | + k=1) k=1) * |
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C | "WB" "PWX" |
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C | |
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C | N, y increasing northwards |
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C | /|\ j increasing northwards |
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C | | |
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C | | |
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C | ======>E, x increasing eastwards |
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C | i increasing eastwards |
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C | |
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C | i: East-west index |
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C | j: North-south index |
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C | k: up-down index |
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C | U: x-velocity (m/s) |
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C | V: y-velocity (m/s) |
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C | T: potential temperature (oC) |
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C | "SB": Southern boundary |
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C | "WB": Western boundary |
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C |"PWX": Periodic wrap around in X. |
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C |"PWY": Periodic wrap around in Y. |
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C |---------------------------------------------------------- |
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C | (2) South elevation schematic of model grid |
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C | ======================================= |
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C | This diagram shows the location of the model |
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C | prognostic variables on the model grid. The "T" |
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C | location is used for all tracers. The figure also |
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C | shows the upper most, western most indexing |
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C | convention that is used for all model variables. |
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C | |
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C | "WB" |
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C | + |
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C | + |
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C | \+/ /|\ /|\ . |
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C |"UB"++>|-------- | -----------------etc.. | ----*--- |
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C | | rVel(i=1, | rVel(i=Nx, * | |
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C | | j=1, | j=1, * | |
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C | | k=1) | k=1) * | |
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C | | | * | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1, |
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C | k=1) | j=1, | k=1) j=1, * |j=1, |
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C | | k=1) | k=1) * |k=1) |
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C | | | * | |
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C | | /|\ | /|\ * | |
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C | |-------- | -----------------etc.. | ----*--- |
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C | | rVel(i=1, | rVel(i=Nx, * | |
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C | | j=1, | j=1, * | |
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C | | k=2) | k=2) * | |
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C | |
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C | . . . |
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C | . . . |
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C | . . . |
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C | e e * e |
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C | t t * t |
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C | c c * c |
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C | | | * | |
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C | | | * | |
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C | | | * | |
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C | | | * | |
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C | | /|\ | /|\ * | |
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C | |-------- | -----------------etc.. | ----*--- |
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C | | rVel(i=1, | rVel(i=Nx, * | |
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C | | j=1, | j=1, * | |
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C | | k=Nr) | k=Nr) * | |
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C |U(i=1, ==> x ==>U(i=2, x *==>U |
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C | j=1, | T(i=1, | j=1, T(i=Nx, *(i=Nx+1, |
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C | k=Nr)| j=1, | k=Nr) j=1, * |j=1, |
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C | | k=Nr) | k=Nr) * |k=Nr) |
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C | | | * | |
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C |"LB"++>============================================== |
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C | "PWX" |
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C | |
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C | Up increasing upwards. |
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C |/|\ . |
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C | | |
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C | | |
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C | =====> E i increasing eastwards |
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C | | x increasing eastwards |
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C | | |
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C |\|/ |
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C | Down,k increasing downwards. |
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C | |
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C | Note: r => height (m) => r increases upwards |
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C | r => pressure (Pa) => r increases downwards |
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C | |
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C | |
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C | i: East-west index |
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C | j: North-south index |
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C | k: up-down index |
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C | U: x-velocity (m/s) |
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C | rVel: z-velocity ( units of r ) |
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C | The vertical velocity variable rVel is in units of |
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C | "r" the vertical coordinate. r in m will give |
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C | rVel m/s. r in Pa will give rVel Pa/s. |
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C | T: potential temperature (oC) |
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C | "UB": Upper boundary. |
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C | "LB": Lower boundary (always solid - therefore om|w == 0) |
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C | "WB": Western boundary |
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C |"PWX": Periodic wrap around in X. |
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C |---------------------------------------------------------- |
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C | (3) Views showing nomenclature and indexing |
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C | for grid descriptor variables. |
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C | |
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C | Fig 3a. shows the orientation, indexing and |
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C | notation for the grid spacing terms used internally |
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C | for the evaluation of gradient and averaging terms. |
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C | These varaibles are set based on the model input |
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C | parameters which define the model grid in terms of |
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C | spacing in X, Y and Z. |
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C | |
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C | Fig 3b. shows the orientation, indexing and |
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C | notation for the variables that are used to define |
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C | the model grid. These varaibles are set directly |
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C | from the model input. |
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C | |
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C | Figure 3a |
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C | ========= |
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C | |------------------------------------ |
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C | | | |
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C |"PWY"********************************* etc... |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | |
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C | . . |
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C | . . |
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C | . . |
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C | e e |
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C | t t |
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C | c c |
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C | |-----------v-----------|-----------v----------|- |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | u<--dxF(i=1,j=2,k=1)--->u t | |
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C | |/|\ /|\ | | |
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C | | | | | | |
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C | | | | | | |
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C | | | | | | |
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C | |dyU(i=1, dyC(i=1, | | |
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C | --- ---|--j=2,---|--j=2,-----------------v----------|- |
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C | /|\ | | k=1) | k=1) | /|\ | |
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C | | | | | | dyF(i=2, | |
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C | | | | | | | j=1, | |
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C |dyG( |\|/ \|/ | | k=1) | |
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C | i=1,u--- t<---dxC(i=2,j=1,k=1)-->t | |
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C | j=1,| | | | |
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C | k=1)| | | | |
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C | | | | | | |
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C | | | | | | |
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C | \|/ | |<---dxV(i=2,j=1,k=1)--\|/ | |
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C |"SB"++>|___________v___________|___________v__________|_ |
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C | <--dxG(i=1,j=1,k=1)-----> |
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C | /+\ . |
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C | + |
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C | + |
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C | "WB" |
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C | |
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C | N, y increasing northwards |
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C | /|\ j increasing northwards |
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C | | |
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C | | |
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C | ======>E, x increasing eastwards |
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C | i increasing eastwards |
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C | |
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C | i: East-west index |
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C | j: North-south index |
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C | k: up-down index |
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C | u: x-velocity point |
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C | V: y-velocity point |
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C | t: tracer point |
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C | "SB": Southern boundary |
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C | "WB": Western boundary |
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C |"PWX": Periodic wrap around in X. |
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C |"PWY": Periodic wrap around in Y. |
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C | |
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C | Figure 3b |
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C | ========= |
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C | |
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C | . . |
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C | . . |
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C | . . |
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C | e e |
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C | t t |
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C | c c |
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C | |-----------v-----------|-----------v--etc... |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | u<--delX(i=1)---------->u t |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | | | |
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C | |-----------v-----------------------v--etc... |
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C | | /|\ | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | u delY(j=1) | t |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | | | |
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C | | \|/ | |
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C |"SB"++>|___________v___________|___________v__etc... |
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C | /+\ . |
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C | + |
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C | + |
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C | "WB" |
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C | |
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C *==========================================================* |
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C \ev |
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CEOP |
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|
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C Macros that override/modify standard definitions |
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#include "GRID_MACROS.h" |
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|
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C |
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C-- COMMON /GRID_R/ REAL valued grid defining variables. |
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C dxC - Cell center separation in X across western cell wall (m) |
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C dxG - Cell face separation in X along southern cell wall (m) |
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C dxF - Cell face separation in X thru cell center (m) |
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C dxV - V-point separation in X across south-west corner of cell (m) |
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C dyC - Cell center separation in Y across southern cell wall (m) |
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C dyG - Cell face separation in Y along western cell wall (m) |
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C dyF - Cell face separation in Y thru cell center (m) |
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C dyU - U-point separation in Y across south-west corner of cell (m) |
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C drC - Cell center separation along Z axis ( units of r ). |
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C drF - Cell face separation along Z axis ( units of r ). |
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C Rcolumn -Total thickness (in r_unit) of the fluid column |
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C R_low - base of fluid in r_unit (Depth(m) / Pressure(Pa) at top Atmos.) |
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C Ro_surf- surface reference (at rest) position, r_unit. |
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C klowC - index of the lowest "wet cell" (2D) |
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C hFac - Fraction of cell in vertical which is open i.e how |
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C "lopped" a cell is (dimensionless scale factor). |
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C Note: The code needs terms like MIN(hFac,hFac(I+1)) |
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C On some platforms it may be better to precompute |
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C hFacW, hFacE, ... here than do MIN on the fly. |
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C gravitySign - indicates the direction of gravity relative to R direction |
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C (= -1 for R=Z (Z increases upward, -gravity direction ) |
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C (= +1 for R=P (P increases downward, +gravity direction) |
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C rkFac - Vertical coordinate to vertical index orientation. |
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C ( -1 same orientation, 1 opposite orientation ) |
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C maskH - cell Center full-column mask (= 2D mask) |
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C maskC - cell Center land mask |
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C maskW - West face land mask |
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C maskS - South face land mask |
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C recip_dxC - Recipricol of dxC |
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C recip_dxG - Recipricol of dxG |
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C recip_dxF - Recipricol of dxF |
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C recip_dxV - Recipricol of dxV |
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C recip_dyC - Recipricol of dxC |
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C recip_dyG - Recipricol of dyG |
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C recip_dyF - Recipricol of dyF |
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C recip_dyU - Recipricol of dyU |
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C recip_drC - Recipricol of drC |
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C recip_drF - Recipricol of drF |
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C recip_Rcol - Inverse of cell center column thickness (1/r_unit) |
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C recip_hFacC - Inverse of cell open-depth f[X,Y,Z] ( dimensionless ). |
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C recip_hFacW rhFacC center, rhFacW west, rhFacS south. |
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C recip_hFacS Note: This is precomputed here because it involves division. |
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C saFac - Shallow atmosphere factor (dimensionless scale factor). |
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C xC - X-coordinate of center of cell f[X,Y]. The units of xc, yc |
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C depend on the grid. They are not used in differencing or |
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C averaging but are just a convient quantity for I/O, |
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C diagnostics etc.. As such xc is in m for cartesian |
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C coordinates but degrees for spherical polar. |
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C yC - Y-coordinate of center of cell f[X,Y]. |
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C yG - Y-coordinate of corner of cell ( c-grid vorticity point) f[X,Y]. |
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C xC0, yC0 - West edge x coord ( metres or degrees ) |
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C South edge y coord ( metres or degrees ) |
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C rA - R-face are f[X,Y] ( m^2 ). |
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C Note: In a cartesian framework zA is simply dx*dy, |
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C however we use zA to allow for non-globally |
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C orthogonal coordinate frames (with appropriate |
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C metric terms). |
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C rC - R-coordinate of center of cell f[Z] (units of r). |
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C rF - R-coordinate of face of cell f[Z] (units of r). |
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C tanPhiAtU - tan of the latitude at U point. Used for spherical polar |
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C metric term in U equation. |
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C tanPhiAtV - tan of the latitude at V point. Used for spherical polar |
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C metric term in V equation. |
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COMMON /GRID_I/ klowC |
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INTEGER klowC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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|
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COMMON /GRID_R/ |
| 371 |
& cosfacU,cosfacV,sqcosfacU,sqcosfacV, |
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& gravitySign,rkFac, recip_rkFac, |
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& dxC,dxF,dxG,dxV,dyC,dyF,dyG,dyU, |
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& R_low,Ro_surf,HFacC,HFacW,HFacS, |
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& recip_dxC,recip_dxF,recip_dxG,recip_dxV, |
| 376 |
& recip_dyC,recip_dyF,recip_dyG,recip_dyU, |
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& recip_Rcol, |
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& recip_hFacC,recip_hFacW,recip_hFacS, |
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& saFac, |
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& xC,yC,rA,rAw,rAs,rAz,xG,yG, |
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& maskH, maskC,maskW,maskS, |
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& recip_rA,recip_rAw,recip_rAs,recip_rAz, |
| 383 |
& tanPhiAtU, tanPhiAtV, |
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& drC,drF,recip_drC,recip_drF,rC,rF, |
| 385 |
& xC0, yC0 |
| 386 |
_RL cosfacU(1-Oly:sNy+Oly,nSx,nSy) |
| 387 |
_RL cosfacV(1-Oly:sNy+Oly,nSx,nSy) |
| 388 |
_RL sqcosfacU(1-Oly:sNy+Oly,nSx,nSy) |
| 389 |
_RL sqcosfacV(1-Oly:sNy+Oly,nSx,nSy) |
| 390 |
_RL gravitySign |
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_RL rkFac |
| 392 |
_RL recip_rkFac |
| 393 |
_RS dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 394 |
_RS dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 395 |
_RS dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 396 |
_RS dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 397 |
_RS dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 398 |
_RS dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 399 |
_RS dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 400 |
_RS dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 401 |
_RS R_low (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS Ro_surf (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS HFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 404 |
_RS HFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 405 |
_RS HFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
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_RS recip_dxC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 407 |
_RS recip_dxF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS recip_dxG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 409 |
_RS recip_dxV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 410 |
_RS recip_dyC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 411 |
_RS recip_dyF (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 412 |
_RS recip_dyG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 413 |
_RS recip_dyU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 414 |
_RS recip_Rcol (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 415 |
_RS recip_hFacC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 416 |
_RS recip_hFacW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 417 |
_RS recip_hFacS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 418 |
_RS xC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 419 |
_RS xG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 420 |
_RS yC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 421 |
_RS yG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 422 |
_RS rA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 423 |
_RS rAw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 424 |
_RS rAs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 425 |
_RS rAz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 426 |
_RS recip_rA (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 427 |
_RS recip_rAw (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 428 |
_RS recip_rAs (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 429 |
_RS recip_rAz (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 430 |
_RS maskH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 431 |
_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 432 |
_RS maskW (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 433 |
_RS maskS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 434 |
_RS tanPhiAtU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 435 |
_RS tanPhiAtV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 436 |
_RS drC (1:Nr) |
| 437 |
_RS drF (1:Nr) |
| 438 |
_RS recip_drC (1:Nr) |
| 439 |
_RS recip_drF (1:Nr) |
| 440 |
_RS saFac (1:Nr) |
| 441 |
_RS rC (1:Nr) |
| 442 |
_RS rF (1:Nr+1) |
| 443 |
_RS xC0 |
| 444 |
_RS yC0 |
| 445 |
|
| 446 |
#ifdef ALLOW_NONHYDROSTATIC |
| 447 |
COMMON /GRID_NH/ |
| 448 |
& recip_hFacU |
| 449 |
_RS recip_hFacU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,1:Nr,nSx,nSy) |
| 450 |
#endif |
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